Abstract
The optimal shape of cover plates for circular, symmetric retractable roof structures based on a grid of multi-angulated rods connected by revolute joints is considered. It is assumed that these cover plates are co-planar, and hence they are not allowed to overlap in any configuration; they are also required to form a gap free surface in the closed configuration. Suitable shapes for the plates are found by formulating an optimization problem based on suitably defined overlap and gap area functions. The size of the hinges of the bar structure is considered in the optimization. To stabilize the optimization convergence various move limit strategies are tested and a min–max formulation is proposed. The optimization problems are solved by the method of moving asymptotes and the sensitivities are found by finite differences. A series of test cases are presented, whose results agree with previously known solutions, however the generality of the present method makes it suitable to develop structures of general shape.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
